2015arXiv (Cornell University)Open access

Mori geometry meets Cartan geometry: Varieties of minimal rational tangents

Jun-Muk Hwang

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Abstract

We give an introduction to the theory of varieties of minimal rational tangents, emphasizing its aspect as a fusion of algebraic geometry and differential geometry, more specifically, a fusion of Mori geometry of minimal rational curves and Cartan geometry of cone structures.

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We give an introduction to the theory of varieties of minimal rational tangents, emphasizing its aspect as a fusion of algebraic geometry and differential geometry, more specifically, a fusion of Mori geometry of minimal rational curves and Cartan geometry of cone structures.

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Available abstract

We give an introduction to the theory of varieties of minimal rational tangents, emphasizing its aspect as a fusion of algebraic geometry and differential geometry, more specifically, a fusion of Mori geometry of minimal rational curves and Cartan geometry of cone structures.

Key concepts: Geometry, Tangent, Birational geometry, Differential geometry, Mathematics, Algebraic geometry, Differential algebraic geometry, Mathematical analysis

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